Implicit Differentiation Practice Quiz

Authored by Lauren Friedman

Mathematics

11th - 12th Grade

CCSS covered

Used 68+ times

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10 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find dy/dx at the given point

x³ +2xy -y²=11 at (2,3)

-4/7

-9

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

find y' for y= sin(2x²)

4sin(2x²)

4xcos(2x²)

2xcos(2x²)

xcos(4x²)

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find dy/dx by Implicit Differentiation
xy = 6

-x/ y

-y/ x

-6y/ x

y/x

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find $\frac{dy}{dx}$ : $y^2=10x$

$\frac{5}{y}$

$\frac{10}{y}$

$\frac{y^2}{5}$

$\frac{y^2}{10}$

Which of the following equations, if any, are written in implicit form?
(Check all that apply)

$y=4\ x-9$

$x^{\ 2}+y^{\ 2}=49$

$x\ y=16$

$y=\sqrt{36-x^{\ 2}}$

$y=\frac{25\ x}{x^{\ 2}-64}$

$x^2+xy+y^2=9\ @\ \left(1,2\right)$ Use implicit differentiation to write the equation of the tangent line to the curve at the given point.

$y-1=\frac{-4}{5}\left(x-2\right)$

$y-2=\frac{-4}{5}\left(x-1\right)$

$y-2=\frac{4}{5}\left(x-1\right)$

$y+2=\frac{-4}{5}\left(x+1\right)$

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Implicit Differentiation Practice

Find dy/dx at the given pointx3 +2xy -y2=11 at (2,3)

find y' for y= sin(2x2)

Find dy/dx by Implicit Differentiationxy = 6

Find dydx\frac{dy}{dx}dxdy​ : y2=10xy^2=10xy2=10x

Which of the following equations, if any, are written in implicit form?(Check all that apply)

x2+xy+y2=9 @ (1,2)x^2+xy+y^2=9\ @\ \left(1,2\right)x2+xy+y2=9 @ (1,2) Use implicit differentiation to write the equation of the tangent line to the curve at the given point.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find dy/dx at the given point

x³ +2xy -y²=11 at (2,3)

find y' for y= sin(2x²)

Find dy/dx by Implicit Differentiation
xy = 6

Find $\frac{dy}{dx}$ : $y^2=10x$

Which of the following equations, if any, are written in implicit form?
(Check all that apply)

$x^2+xy+y^2=9\ @\ \left(1,2\right)$ Use implicit differentiation to write the equation of the tangent line to the curve at the given point.